Phase difference between points on wall

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Homework Help Overview

The problem involves parallel water waves with a specified wavelength striking a straight sea wall at a given angle. The objective is to determine the phase difference between two points along the wall that are 5 meters apart.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss how the angle of incidence affects the calculation of phase difference and question the application of the formula for phase difference in this context. There are attempts to visualize the problem through diagrams and to clarify the relationship between distance and phase change.

Discussion Status

Some participants have proposed calculations based on the geometry of the wavefronts and the distance between points on the wall. There is acknowledgment of a correct phase difference, but also some confusion regarding the units and the application of the formula.

Contextual Notes

Participants are navigating the implications of the angle of incidence and its effect on the distance the wave needs to travel to reach the second point on the wall. There is an emphasis on ensuring the correct interpretation of the phase difference in both degrees and radians.

songoku
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Homework Statement


Parallel water waves of wavelength 10 m strike a straight sea wall. The wavefronts make an angle 30o with the wall. What is the difference in phases between the waves at two points 5 m apart along the wall?
a. 30o
b. 45o
c. 90o
d. 156o
e. 180o

Homework Equations


Δφ = Δx / λ

The Attempt at a Solution


I don't think I can just put Δx = 5 m and calculate using the formula but I have no idea how to start. How can the angle given being used to find the phase difference?

Thanks
 
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songoku said:
How can the angle given being used to find the phase difference?
Draw a diagram of a wavefront striking a point on the wall. Now look at a point 5m further along the wall, which the wavefront hasn't reached yet. How far will the wave need to advance to reach that point?
 
Let me try:
the wave needs to advance for 2.5 m (5 sin 30o) so the phase difference = 2.5 / 10 rad = 90o

Is that correct? Thanks
 
songoku said:
Let me try:
the wave needs to advance for 2.5 m (5 sin 30o) so the phase difference = 2.5 / 10 rad = 90o

Is that correct? Thanks
90° is correct, but you mean 2.5/10 (2π) radians.
 
haruspex said:
90° is correct, but you mean 2.5/10 (2π) radians.
Yes, my bad

Thank you very much haruspex
 

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